Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-399-409
E.S. Rodionov, A.E. Mayer
A simple method is proposed to estimate the dynamic yield stress of materials using modified Taylor tests for high-velocity impact of profiled cylinders with a reduced diameter of the head part. Assuming the uniformity of deformations and stresses in the head part, formulas are derived for estimating the yield stress and strain rate from the change in the length of the reduced head part, as well as the mass of the sample and the impact velocity. This estimation is verified by comparison with the results of numerical calculations by the SPH method based on the dislocation plasticity model parameterized for cold-rolled oxygen-free copper. It is shown that the stopping time of the sample and the strain rate are reproduced with good accuracy, and the shear strength estimate gives an error that increases with the impact velocity. At velocities that do not lead to deformation of a wide part of the sample (up to 90 m/s in the case under consideration), the error increases linearly up to 30%, which can be taken into account by a correction factor. The proposed estimate, taking into account the correction factor, was applied to analyze the results of previous experiments; the obtained values correspond to the literature data on the rate dependence of the shear strength.
{"title":"ESTIMATION OF DYNAMIC YIELD STRESS BY TAYLOR TEST WITH REDUCED CYLINDRICAL HEAD PART OF SAMPLES","authors":"E.S. Rodionov, A.E. Mayer","doi":"10.47475/2500-0101-2023-8-3-399-409","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-399-409","url":null,"abstract":"A simple method is proposed to estimate the dynamic yield stress of materials using modified Taylor tests for high-velocity impact of profiled cylinders with a reduced diameter of the head part. Assuming the uniformity of deformations and stresses in the head part, formulas are derived for estimating the yield stress and strain rate from the change in the length of the reduced head part, as well as the mass of the sample and the impact velocity. This estimation is verified by comparison with the results of numerical calculations by the SPH method based on the dislocation plasticity model parameterized for cold-rolled oxygen-free copper. It is shown that the stopping time of the sample and the strain rate are reproduced with good accuracy, and the shear strength estimate gives an error that increases with the impact velocity. At velocities that do not lead to deformation of a wide part of the sample (up to 90 m/s in the case under consideration), the error increases linearly up to 30%, which can be taken into account by a correction factor. The proposed estimate, taking into account the correction factor, was applied to analyze the results of previous experiments; the obtained values correspond to the literature data on the rate dependence of the shear strength.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-309-318
A.M. Gaisin, G.A. Gaisina
The study of the asymptotic behavior of an entire transcendental function of the form f(z) = Pn anzpn, pn ∈ N, on curves γ going to infinity arbitrarily, is a classical problem, goes back to the works of Hadamard, Littlewood and Polia. Polia posed the following problem: under what conditions on pn does there unbounded sequence {ξn} ⊂ γ exist such that lnMf(|ξn|) ∼ ln|f(ξn)| for ξn → ∞ (Polya’s problem). Here Mf(r) is the maximum of the modulus f on a circle of radius r. He showed that if the sequence {pn} has zero density and f is of finite order, then the indicated relation between lnMf(|ξn|) and ln|f(ξn)| is always present. This assertion is also true in the case when f has a finite lower order: the final results for this case were obtained by A.M.Gaisin, I.D.Latypov and N.N.Yusupova-Aitkuzhina. We consider the situation when the lower order is equal to infinity. A.M. Gaisin received an answer to Polia’s problem in 2003. This is the criterion. If the conditions of this criterion are satisfied not by the sequence {pn} itself, but only by a subsequence — a sequence of central exponents, then the logarithms of the maximum modulus and modulus of the sum of the series will also be equivalent in the indicated sense on any curve γ going to infinity.
{"title":"REFINEMENT OF MACINTYRE - EVGRAFOV TYPE THEOREMS","authors":"A.M. Gaisin, G.A. Gaisina","doi":"10.47475/2500-0101-2023-8-3-309-318","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-309-318","url":null,"abstract":"The study of the asymptotic behavior of an entire transcendental function of the form f(z) = Pn anzpn, pn ∈ N, on curves γ going to infinity arbitrarily, is a classical problem, goes back to the works of Hadamard, Littlewood and Polia. Polia posed the following problem: under what conditions on pn does there unbounded sequence {ξn} ⊂ γ exist such that lnMf(|ξn|) ∼ ln|f(ξn)| for ξn → ∞ (Polya’s problem). Here Mf(r) is the maximum of the modulus f on a circle of radius r. He showed that if the sequence {pn} has zero density and f is of finite order, then the indicated relation between lnMf(|ξn|) and ln|f(ξn)| is always present. This assertion is also true in the case when f has a finite lower order: the final results for this case were obtained by A.M.Gaisin, I.D.Latypov and N.N.Yusupova-Aitkuzhina. We consider the situation when the lower order is equal to infinity. A.M. Gaisin received an answer to Polia’s problem in 2003. This is the criterion. If the conditions of this criterion are satisfied not by the sequence {pn} itself, but only by a subsequence — a sequence of central exponents, then the logarithms of the maximum modulus and modulus of the sum of the series will also be equivalent in the indicated sense on any curve γ going to infinity.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135208316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-421-435
E.V. Fomin
In this work the energy of symmetric tilt and twist grain boundaries in the range of grain misorientation angles from 0 to 180◦ and temperatures from 100 to 700 K in pure aluminum is investigated. The bicrystal systems with different grain tilt/twist angles are maintained at constant temperatures of 100, 400, or 700 K by molecular dynamic method and the energy of each grain boundary is calculated. The results show that the minimum grain boundary energy decreases as the temperature increases from 100 to 400 K; but the energy may decrease, remain practically unchanged, or even increase with further heating to 700 K. The average grain boundary energy obtained by averaging the energies of the resulting grain boundary structure variations at constant temperature grows with increasing temperature from 100 to 700 K for random boundaries with initially high energies. In the case of special grain boundaries with small Σ values, the average energy will be practically unchanged. To describe the continuous energy dependence of symmetric tilt and twist boundaries on temperature, an approximation by an forward propagation of artificial neural network is proposed. The neural network is trained and tested on atomistic simulation data and shows high predictive ability on test data and to describe the boundary energy in the temperature range from 100 to 700 K.
{"title":"STUDY OF THE TEMPERATURE DEPENDENCE OF THE SYMMETRICAL GRAIN BOUNDARY ENERGIES ON THE PLANE (110) IN ALUMINUM","authors":"E.V. Fomin","doi":"10.47475/2500-0101-2023-8-3-421-435","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-421-435","url":null,"abstract":"In this work the energy of symmetric tilt and twist grain boundaries in the range of grain misorientation angles from 0 to 180◦ and temperatures from 100 to 700 K in pure aluminum is investigated. The bicrystal systems with different grain tilt/twist angles are maintained at constant temperatures of 100, 400, or 700 K by molecular dynamic method and the energy of each grain boundary is calculated. The results show that the minimum grain boundary energy decreases as the temperature increases from 100 to 400 K; but the energy may decrease, remain practically unchanged, or even increase with further heating to 700 K. The average grain boundary energy obtained by averaging the energies of the resulting grain boundary structure variations at constant temperature grows with increasing temperature from 100 to 700 K for random boundaries with initially high energies. In the case of special grain boundaries with small Σ values, the average energy will be practically unchanged. To describe the continuous energy dependence of symmetric tilt and twist boundaries on temperature, an approximation by an forward propagation of artificial neural network is proposed. The neural network is trained and tested on atomistic simulation data and shows high predictive ability on test data and to describe the boundary energy in the temperature range from 100 to 700 K.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"193 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-410-420
S.V. Belim, E.V. Bogdanova
In the article, an extraordinary phase transition in thin antiferromagnetic films was investigated by computer modeling. The simulation uses the Ising model and Metropolis algorithm. Cubic crystal lattice epitaxial films containing multiple monoatomic layers are studied in the paper. The difference in the value for the exchange integrals in the bulk and on the surface of the film is a condition for the appearance of surface and extraordinary phase transitions. The film shall contain at least eight monoatomic layers for appearance of surface and extraordinary phase transitions. The extraordinary phase transition is investigated at different film thicknesses. Magnetic susceptibility demonstrates a logarithmic dependence on Neel temperature near the phase transition point. The dependence of the critical exponent of magnetic susceptibility on film thickness is calculated for the logarithmic phase.
{"title":"STUDY OF EXTRAORDINARY PHASE TRANSITION IN THIN ANTI-FERROMAGNETIC FILMS: COMPUTER SIMULATION","authors":"S.V. Belim, E.V. Bogdanova","doi":"10.47475/2500-0101-2023-8-3-410-420","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-410-420","url":null,"abstract":"In the article, an extraordinary phase transition in thin antiferromagnetic films was investigated by computer modeling. The simulation uses the Ising model and Metropolis algorithm. Cubic crystal lattice epitaxial films containing multiple monoatomic layers are studied in the paper. The difference in the value for the exchange integrals in the bulk and on the surface of the film is a condition for the appearance of surface and extraordinary phase transitions. The film shall contain at least eight monoatomic layers for appearance of surface and extraordinary phase transitions. The extraordinary phase transition is investigated at different film thicknesses. Magnetic susceptibility demonstrates a logarithmic dependence on Neel temperature near the phase transition point. The dependence of the critical exponent of magnetic susceptibility on film thickness is calculated for the logarithmic phase.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-436-457
M.A. Zagrebin, V.D. Buchelnikov
The history of the work of Dissertation Council 24.2.431.01 (Ä 212.296.03) for the second decade of its existence, from 2012 to 2022, is presented. A detailed analysis of the work is given, brief abstract reviews of all doctoral and candidate dissertations defended in the dissertation council are made.
{"title":"HISTORY OF THE DISSERTATION COUNCIL 24.2.431.01 (Ä 212.296.03) (2012–2022)","authors":"M.A. Zagrebin, V.D. Buchelnikov","doi":"10.47475/2500-0101-2023-8-3-436-457","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-436-457","url":null,"abstract":"The history of the work of Dissertation Council 24.2.431.01 (Ä 212.296.03) for the second decade of its existence, from 2012 to 2022, is presented. A detailed analysis of the work is given, brief abstract reviews of all doctoral and candidate dissertations defended in the dissertation council are made.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135208319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-319-330
R.G. Zainullin, Z.Yu. Fazullin
The application of the method of decomposition by eigenfunctions of a self-adjoint differential operator to solving a non-stationary heat transfer problem with a phase transition in a non-automatic formulation under special initial conditions is presented for the example of the solidification process in a continuous medium. The one-dimensional problem is solved in spherical coordinates. Solving of the problem begins with its transformation to a problem in a domain with fixed boundaries, then a finite integral transformation with an unknown kernel is constructed to solve the transformed problem, the finding of which is associated with the formulation and solving of the corresponding spectral problem through degenerate hypergeometric functions. The eigenvalues and eigenfunctions are found, as well as the inversion formula for the introduced integral transformation, which makes it possible to write out an analytical solution to the problem. In the course of solving the problem, the parabolic law of motion of the interface of the two phases is established. Problems of this type arise in the mathematical modeling of heat transfer processes in construction, especially in permafrost areas, in oil and gas production during drilling and operation of wells, in metallurgy, etc.
{"title":"BOUNDARY VALUE PROBLEM FOR THE EQUATION OF UNSTEADY THERMAL CONDUCTIVITY IN A NON-CYLINDRICAL REGION","authors":"R.G. Zainullin, Z.Yu. Fazullin","doi":"10.47475/2500-0101-2023-8-3-319-330","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-319-330","url":null,"abstract":"The application of the method of decomposition by eigenfunctions of a self-adjoint differential operator to solving a non-stationary heat transfer problem with a phase transition in a non-automatic formulation under special initial conditions is presented for the example of the solidification process in a continuous medium. The one-dimensional problem is solved in spherical coordinates. Solving of the problem begins with its transformation to a problem in a domain with fixed boundaries, then a finite integral transformation with an unknown kernel is constructed to solve the transformed problem, the finding of which is associated with the formulation and solving of the corresponding spectral problem through degenerate hypergeometric functions. The eigenvalues and eigenfunctions are found, as well as the inversion formula for the introduced integral transformation, which makes it possible to write out an analytical solution to the problem. In the course of solving the problem, the parabolic law of motion of the interface of the two phases is established. Problems of this type arise in the mathematical modeling of heat transfer processes in construction, especially in permafrost areas, in oil and gas production during drilling and operation of wells, in metallurgy, etc.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135208314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-331-350
S.G. Pyatkov, V.A. Belonogov
We consider systems of parabolic equations and well-posedness questions in Sobolev spaces of inverse problems of recovering the heat transfer coefficients at the interface which are included in the transmission condition of the imperfect contact type. Under certain conditions on the data, it is demonstrated that there exists a unique solution to the problem. The proof employs a priori estimates and the fixed-point theorem.
{"title":"RECOVERING OF THE HEAT TRANSFER COEFFICIENT IN TRANSMISSION PROBLEMS WITH IMPERFECT CONTACT CONDITIONS","authors":"S.G. Pyatkov, V.A. Belonogov","doi":"10.47475/2500-0101-2023-8-3-331-350","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-331-350","url":null,"abstract":"We consider systems of parabolic equations and well-posedness questions in Sobolev spaces of inverse problems of recovering the heat transfer coefficients at the interface which are included in the transmission condition of the imperfect contact type. Under certain conditions on the data, it is demonstrated that there exists a unique solution to the problem. The proof employs a priori estimates and the fixed-point theorem.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135208315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/10.47475/2500-0101-2023-8-3-319-330
R.G. Zainullin, Z.Yu. Fazullin
The application of the method of decomposition by eigenfunctions of a self-adjoint differential operator to solving a non-stationary heat transfer problem with a phase transition in a non-automatic formulation under special initial conditions is presented for the example of the solidification process in a continuous medium. The one-dimensional problem is solved in spherical coordinates. Solving of the problem begins with its transformation to a problem in a domain with fixed boundaries, then a finite integral transformation with an unknown kernel is constructed to solve the transformed problem, the finding of which is associated with the formulation and solving of the corresponding spectral problem through degenerate hypergeometric functions. The eigenvalues and eigenfunctions are found, as well as the inversion formula for the introduced integral transformation, which makes it possible to write out an analytical solution to the problem. In the course of solving the problem, the parabolic law of motion of the interface of the two phases is established. Problems of this type arise in the mathematical modeling of heat transfer processes in construction, especially in permafrost areas, in oil and gas production during drilling and operation of wells, in metallurgy, etc.
{"title":"BOUNDARY VALUE PROBLEM FOR THE EQUATION OF UNSTEADY THERMAL CONDUCTIVITY IN A NON-CYLINDRICAL REGION","authors":"R.G. Zainullin, Z.Yu. Fazullin","doi":"10.47475/10.47475/2500-0101-2023-8-3-319-330","DOIUrl":"https://doi.org/10.47475/10.47475/2500-0101-2023-8-3-319-330","url":null,"abstract":"The application of the method of decomposition by eigenfunctions of a self-adjoint differential operator to solving a non-stationary heat transfer problem with a phase transition in a non-automatic formulation under special initial conditions is presented for the example of the solidification process in a continuous medium. The one-dimensional problem is solved in spherical coordinates. Solving of the problem begins with its transformation to a problem in a domain with fixed boundaries, then a finite integral transformation with an unknown kernel is constructed to solve the transformed problem, the finding of which is associated with the formulation and solving of the corresponding spectral problem through degenerate hypergeometric functions. The eigenvalues and eigenfunctions are found, as well as the inversion formula for the introduced integral transformation, which makes it possible to write out an analytical solution to the problem. In the course of solving the problem, the parabolic law of motion of the interface of the two phases is established. Problems of this type arise in the mathematical modeling of heat transfer processes in construction, especially in permafrost areas, in oil and gas production during drilling and operation of wells, in metallurgy, etc.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135208318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.47475/2500-0101-2023-8-3-351-370
Z.A. Sobirov, J.R. Khujakulov, A.A. Turemuratova
In this paper, we investigate an initial boundary-value problem for a pseudo-subdiffusion equation involving the Hilfer time-fractional derivative on a metric graph. At the boundary vertices of the graph, we used the Dirichlet condition. At the branching points (inner vertices) of the graph, we use δ-type conditions. Such kind of conditions ensure a local flux conservation at the branching points and are also called Kirchhoff conditions. The uniqueness of a solution of the considered problem is shown using the so-called method of energy integrals. The existence of a regular solution to the considered problem is proved. The solution is constructed in the form of the Fourier series.
{"title":"UNIQUE SOLVABILITY OF IBVP FOR PSEUDO-SUBDIFFUSION EQUATION WITH HILFER FRACTIONAL DERIVATIVE ON A METRIC GRAPH","authors":"Z.A. Sobirov, J.R. Khujakulov, A.A. Turemuratova","doi":"10.47475/2500-0101-2023-8-3-351-370","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-351-370","url":null,"abstract":"In this paper, we investigate an initial boundary-value problem for a pseudo-subdiffusion equation involving the Hilfer time-fractional derivative on a metric graph. At the boundary vertices of the graph, we used the Dirichlet condition. At the branching points (inner vertices) of the graph, we use δ-type conditions. Such kind of conditions ensure a local flux conservation at the branching points and are also called Kirchhoff conditions. The uniqueness of a solution of the considered problem is shown using the so-called method of energy integrals. The existence of a regular solution to the considered problem is proved. The solution is constructed in the form of the Fourier series.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"192 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135208313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper proposes a mathematical model for describing the movement of the working body of the plow, taking into account the vibration effect. The model is used to simulate the movement of the working body of the plow with an uneven speed of the traction unit. It was found that when accelerating, a stationary displacement of the working body of the plow occurs, as well as a decrease in the amplitude of oscillations and an exit to a stationary mode with a small amplitude of several millimeters. The specific power also reaches a stationary value over time. The parameters of steady oscillations depend on the stationary value of the speed of movement and the properties of the soil.
{"title":"DYNAMICS OF THE PLOW’S WORKING BODY UNDER THE ACTION OF VIBRATIONS","authors":"A.R. Yalaletdinov, I.R. Rahimov, A.P. Kulikova, I.V. Bychkov, D.A. Kuzmin, D.A. Yalaletdinov, M.O. Usik, V.A. Tolkachev","doi":"10.47475/2500-0101-2023-8-3-387-398","DOIUrl":"https://doi.org/10.47475/2500-0101-2023-8-3-387-398","url":null,"abstract":"The paper proposes a mathematical model for describing the movement of the working body of the plow, taking into account the vibration effect. The model is used to simulate the movement of the working body of the plow with an uneven speed of the traction unit. It was found that when accelerating, a stationary displacement of the working body of the plow occurs, as well as a decrease in the amplitude of oscillations and an exit to a stationary mode with a small amplitude of several millimeters. The specific power also reaches a stationary value over time. The parameters of steady oscillations depend on the stationary value of the speed of movement and the properties of the soil.","PeriodicalId":36654,"journal":{"name":"Chelyabinsk Physical and Mathematical Journal","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：